Results 281 to 290 of about 51,880 (308)

Evaluation of some convolution sums

AIP Conference Proceedings, 2015
We evaluate the convolution sums∑l+50m=nσ(l)σ(m), ∑2l+25m=nσ(l)σ(m), ∑l+25m=nσ(l)σ(m),∑l+m=n,l≡a mod⁡5σ(l)σ(m), for a=0,1,2,3,4using the theory of quasimodular forms.
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Sum-product decoding of convolutional codes

2009 Fourth International Workshop on Signal Design and its Applications in Communications, 2009
This article proposes two methods to improve the sum-product soft-in/soft-out decoding performance of convolutional codes. The first method is to transform a parity check equation in such a way as to remove cycles of length four in a Tanner graph of a convolutional code, and performs sum-product algorithm (SPA) with the transformed parity check ...
Yuuichi Ogawa, Toshiyuki Shohon, Haruo Ogiwara   +2 more
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Computing the convolution and the Minkowski sum of surfaces

Proceedings of the 21st Spring Conference on Computer Graphics, 2005
In many applications, such as NC tool path generation and robot motion planning, it is required to compute the Minkowski sum of two objects. Generally the Minkowski sum of two rational surfaces cannot be expressed in rational form. In this paper we show that for LN spline surfaces (surfaces with a linear field of normal vectors) a closed form ...
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A property of convolution sum for divisor functions

AIP Conference Proceedings, 2012
In this article, we shall give a generalization of the formula Σk = 1N−1σ1(2nk)σ3(2n(N−k)).
Daeyeoul Kim, Aeran Kim
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Evaluate the Convolution Integral and Convolution Sum Use Compact Formula

2011 7th International Conference on Wireless Communications, Networking and Mobile Computing, 2011
Abstract: Convolution integral and convolution summation play an important role in the analysis of the linear time invariant systems. At present, many text books have published in my home country or foreign country , especially the ?sSignals and Systems?t all discuss the methods by use of the graph to determine the up limit, low limit and the interval ...
De-yong Yu, Bin Ren
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Convolution equivalence and distributions of random sums

Probability Theory and Related Fields, 2007
A serious gap in the Proof of Pakes’s paper on the convolution equivalence of infinitely divisible distributions on the line is completely closed. It completes the real analytic approach to Sgibnev’s theorem. Then the convolution equivalence of random sums of IID random variables is discussed.
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Classification by ordinal sums of conjunctive and disjunctive functions for explainable AI and interpretable machine learning solutions

Knowledge-Based Systems, 2021
Miroslav Hudec, Anna Saranti, Andreas Holzinger   +2 more
exaly  

Total internal partition sums for the HITRAN2020 database

Journal of Quantitative Spectroscopy and Radiative Transfer, 2021
Robert R Gamache, Bastien Vispoel, Michaël Rey   +2 more
exaly  

Congruences on sums of q-binomial coefficients

Advances in Applied Mathematics, 2020
Ji-Cai Liu, F V Petrov
exaly  

The Multinomial Combinatorial Convolution Sum

British Journal of Mathematics & Computer Science, 2014
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